Respuesta :
Answer:-
[tex]\red{\bigstar}[/tex] The final evaluation of the given expression is [tex]\large\leadsto\boxed{\rm\purple{- 40}}[/tex]
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• Given:-
- Expression = ax² + bx + c
- a = -2
- b = 5
- c = -7
- x = -3
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• Solution:-
✯ Substitute the given values of each variable in the expression.
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➪ [tex]\bold{ax^2 + bx + c}[/tex]
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➪ [tex]\sf (-2) \times (-3)^2 + (5) \times (-3) + (-7)[/tex]
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➪ [tex]\sf (-2) \times (9) + (-15) + (-7)[/tex]
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➪ [tex]\sf - 18 - 15 - 7[/tex]
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★ [tex]\bold\red{\large{- 40}}[/tex]
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[tex]\pink{\bigstar}[/tex] Therefore, the the final evaluation of the given expression is -40.
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[tex]\pink{\bigstar}[/tex] Hence, the Option. C
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{ax^2 + bx + c}}[/tex]
[tex]\huge\boxed{\mathsf{= -2(-3)^2 + 5(-3) + (-7)}}[/tex]
[tex]\huge\boxed{\mathsf{= (-2)(9) - 15 - 7}}[/tex]
[tex]\huge\boxed{\mathsf{= -18 - 15 - 7}}[/tex]
[tex]\huge\boxed{\mathsf{= -33 - 7}}}[/tex]
[tex]\huge\boxed{\mathsf{= -40}}[/tex]
[tex]\huge\boxed{\rm{Therefore, your \ answer\ is: \boxed{\mathsf{Option\ C. -40}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]